mlsanityData to 7 Oct 2026

Navigating the Design Space of Equivariant Diffusion-Based Generative Models for De Novo 3D Molecule Generation

arXiv 2309.17296 ↗First posted 29 Sep 2023cs.LGcited by 50

On the map: Diffusion models → Flow matching, time series and science

Abstract (arXiv)

Deep generative diffusion models are a promising avenue for 3D de novo molecular design in materials science and drug discovery. However, their utility is still limited by suboptimal performance on large molecular structures and limited training data. To address this gap, we explore the design space of E(3)-equivariant diffusion models, focusing on previously unexplored areas. Our extensive comparative analysis evaluates the interplay between continuous and discrete state spaces. From this investigation, we present the EQGAT-diff model, which consistently outperforms established models for the QM9 and GEOM-Drugs datasets. Significantly, EQGAT-diff takes continuous atom positions, while chemical elements and bond types are categorical and uses time-dependent loss weighting, substantially increasing training convergence, the quality of generated samples, and inference time. We also showcase that including chemically motivated additional features like hybridization states in the diffusion process enhances the validity of generated molecules. To further strengthen the applicability of diffusion models to limited training data, we investigate the transferability of EQGAT-diff trained on the large PubChem3D dataset with implicit hydrogen atoms to target different data distributions. Fine-tuning EQGAT-diff for just a few iterations shows an efficient distribution shift, further improving performance throughout data sets. Finally, we test our model on the Crossdocked data set for structure-based de novo ligand generation, underlining the importance of our findings showing state-of-the-art performance on Vina docking scores.

Key facts. Cited by 50 papers in the map (data through 7 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 44 of its 62 references that are in the map. First posted on arXiv 29 Sep 2023.

Builds on

44 of 62 references.

Closest ancestors · 5

Same direction, newest first

  1. 2023MiDi: Mixed Graph and 3D Denoising Diffusion for Molecule Generation17 Feb
  2. 2022Structure-based Drug Design with Equivariant Diffusion Models24 Oct
  3. 2022Equivariant 3D-Conditional Diffusion Models for Molecular Linker Design11 Oct
  4. 2022Equivariant Diffusion for Molecule Generation in 3D31 Mar
  5. 2022GeoDiff: a Geometric Diffusion Model for Molecular Conformation Generation6 Mar

Other references · 39

  1. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  2. 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,694
  3. 2020Denoising Diffusion Implicit Modelscited by 9,655
  4. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
  5. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
  6. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
  7. 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,067
  8. 2021Improved Denoising Diffusion Probabilistic Modelscited by 3,736
  9. 2022Elucidating the Design Space of Diffusion-Based Generative Modelscited by 2,994
  10. 2019Fast Graph Representation Learning with PyTorch Geometriccited by 2,414
  11. 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,665
  12. 2020DiffWave: A Versatile Diffusion Model for Audio Synthesiscited by 1,339
27 more
  1. 2021Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gaugescited by 1,131
  2. 2022Diffusion-LM Improves Controllable Text Generationcited by 1,006
  3. 2021E(3)-Equivariant Graph Neural Networks for Data-Efficient and Accurate Interatomic Potentialscited by 701
  4. 2021Diffusion Schr"odinger Bridge with Applications to Score-Based Generative Modelingcited by 594
  5. 2021Argmax Flows and Multinomial Diffusion: Learning Categorical Distributionscited by 566
  6. 2022MACE: Higher Order Equivariant Message Passing Neural Networks for Fast and Accurate Force Fieldscited by 467
  7. 2021Grad-TTS: A Diffusion Probabilistic Model for Text-to-Speechcited by 445
  8. 2021Equivariant message passing for the prediction of tensorial properties and molecular spectracited by 438
  9. 2020Learning from Protein Structure with Geometric Vector Perceptronscited by 308
  10. 2022DiffDock: Diffusion Steps, Twists, and Turns for Molecular Dockingcited by 307
  11. 2023Understanding Diffusion Objectives as the ELBO with Simple Data Augmentationcited by 293
  12. 2022Torsional Diffusion for Molecular Conformer Generationcited by 262
  13. 2020Equivariant Flows: Exact Likelihood Generative Learning for Symmetric Densitiescited by 248
  14. 2020GEOM: Energy-annotated molecular conformations for property prediction and molecular generationcited by 238
  15. 2022Riemannian Score-Based Generative Modellingcited by 216
  16. 2022Pocket2Mol: Efficient Molecular Sampling Based on 3D Protein Pocketscited by 182
  17. 2022TorchMD-NET: Equivariant Transformers for Neural Network based Molecular Potentialscited by 179
  18. 20233D Equivariant Diffusion for Target-Aware Molecule Generation and Affinity Predictioncited by 176
  19. 2019Symmetry-adapted generation of 3d point sets for the targeted discovery of moleculescited by 171
  20. 2021E(n) Equivariant Normalizing Flowscited by 165
  21. 2022A 3D Generative Model for Structure-Based Drug Designcited by 148
  22. 2022EquiBind: Geometric Deep Learning for Drug Binding Structure Predictioncited by 143
  23. 2022Diffusion-based Molecule Generation with Informative Prior Bridgescited by 104
  24. 2021Inverse design of 3d molecular structures with conditional generative neural networkscited by 93
  25. 2019Molecular geometry prediction using a deep generative graph neural networkcited by 91
  26. 2019A Generative Model for Molecular Distance Geometrycited by 73
  27. 2023MolDiff: Addressing the Atom-Bond Inconsistency Problem in 3D Molecule Diffusion Generationcited by 65

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 10; 2025: 24; 2026: 16.

50 papers.

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  1. 2025All-atom Diffusion Transformers: Unified generative modelling of molecules and materialscited by 75
  2. 2024Mixed Continuous and Categorical Flow Matching for 3D De Novo Molecule Generationcited by 53
  3. 2024SemlaFlow -- Efficient 3D Molecular Generation with Latent Attention and Equivariant Flow Matchingcited by 40
  4. 2024Cometh: A continuous-time discrete-state graph diffusion modelcited by 29
  5. 2024UniGEM: A Unified Approach to Generation and Property Prediction for Moleculescited by 20
  6. 2025FlowMol3: Flow Matching for 3D De Novo Small-Molecule Generationcited by 20
  7. 2025FLOWR: Flow Matching for Structure-Aware De Novo, Interaction- and Fragment-Based Ligand Generationcited by 18
  8. 2025NExT-Mol: 3D Diffusion Meets 1D Language Modeling for 3D Molecule Generationcited by 17
  9. 2024Geometric Representation Condition Improves Equivariant Molecule Generationcited by 13
  10. 2025Applications of Modular Co-Design for De Novo 3D Molecule Generationcited by 13
  11. 2025Equivariant Neural Diffusion for Molecule Generationcited by 13
  12. 2025Learning Diffusion Models with Flexible Representation Guidancecited by 12
38 more
  1. 2024Exploring Discrete Flow Matching for 3D De Novo Molecule Generationcited by 11
  2. 2025TABASCO: A Fast, Simplified Model for Molecular Generation with Improved Physical Qualitycited by 11
  3. 2025Controlled Generation with Equivariant Variational Flow Matchingcited by 9
  4. 2025Straight-Line Diffusion Model for Efficient 3D Molecular Generationcited by 8
  5. 2025GEOM-Drugs Revisited: Toward More Chemically Accurate Benchmarks for 3D Molecule Generationcited by 8
  6. 2024Zero Shot Molecular Generation via Similarity Kernelscited by 6
  7. 2025Compositional Flows for 3D Molecule and Synthesis Pathway Co-designcited by 6
  8. 2024General Binding Affinity Guidance for Diffusion Models in Structure-Based Drug Designcited by 5
  9. 2025SynCoGen: Synthesizable 3D Molecule Generation via Joint Reaction and Coordinate Modelingcited by 5
  10. 2026Rethinking Diffusion Models with Symmetries through Canonicalization with Applications to Molecular Graph Generationcited by 5
  11. 2025Rao-Blackwell Gradient Estimators for Equivariant Denoising Diffusioncited by 4
  12. 2025MolGuidance: Advanced Guidance Strategies for Conditional Molecular Generation with Flow Matchingcited by 4
  13. 2025Disentangling Total-Variance and Signal-to-Noise-Ratio Improves Diffusion Modelscited by 3
  14. 2025Scalable Non-Equivariant 3D Molecule Generation via Rotational Alignmentcited by 3
  15. 2025Unraveling the Potential of Diffusion Models in Small Molecule Generationcited by 3
  16. 2026Zatom-1: Towards a Multimodal Foundation Model for 3D Molecules and Materialscited by 3
  17. 2025From thermodynamics to protein design: Diffusion models for biomolecule generation towards autonomous protein engineeringcited by 2
  18. 2025FLOWR.root: A flow matching based foundation model for joint multi-purpose structure-aware 3D ligand generation and affinity predictioncited by 2
  19. 2025FlexiFlow: decomposable flow matching for generation of flexible molecular ensemblecited by 2
  20. 2026Generative Molecular Morphing for Flexible-Size Design via Unbalanced Optimal Transportcited by 2
  21. 2025Predictive Feature Caching for Training-free Acceleration of Molecular Geometry Generationcited by 1
  22. 2026Permutation-Symmetrized Diffusion for Unconditional Molecular Generationcited by 1
  23. 2026Toward Better Geometric Representations for Molecule Generative Modelscited by 1
  24. 2026SinAE: A Single-Architecture Flow-Matching Autoencoder for Cross-Domain Atomic Systemscited by 1
  25. 2026Boltzmann-Expected Molecular Design with Decoupled Annealing Flowscited by 1
  26. 2026DiverseDiT++: Quantifying, Analyzing, and Promoting Representation Diversity in Diffusion Transformerscited by 1
  27. 2024What Ails Generative Structure-based Drug Design: Expressivity is Too Little or Too Much?cited by 0
  28. 2024SymDiff: Equivariant Diffusion via Stochastic Symmetrisationcited by 0
  29. 2025VEDA: 3D Molecular Generation via Variance-Exploding Diffusion with Annealingcited by 0
  30. 2025OMTRA: A Multi-Task Generative Model for Structure-Based Drug Designcited by 0
  31. 2026MacroGuide: Topological Guidance for Macrocycle Generationcited by 0
  32. 2026Hierarchy-Guided Topology Latent Flow for Molecular Graph Generationcited by 0
  33. 2026AtomComposer: Discovering Chemical Space from First Principles with Reinforcement Learningcited by 0
  34. 2026Riemannian Diffusion Models on General Manifolds via Physics-Informed Neural Networkscited by 0
  35. 2026Smoothing Dark Areas in Molecular Latent Diffusioncited by 0
  36. 2026SynLaD: Latent Diffusion for Generating Synthesizable Molecules Conditioned on 3D Pharmacophore Profilescited by 0
  37. 2026Ensemble-Conditioned Molecular Designcited by 0
  38. 2026QALPA: Property-guided diffusion modeling for efficient exploration of chemical spaces of flexible moleculescited by 0

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  1. 2024Diffusion Models in textitDe Novo Drug Design
  2. 2025D3MES: Diffusion Transformer with multihead equivariant self-attention for 3D molecule generation
  3. 2022MDM: Molecular Diffusion Model for 3D Molecule Generation
  4. 2025Frame-based Equivariant Diffusion Models for 3D Molecular Generation
  5. 2023Geometric Latent Diffusion Models for 3D Molecule Generation
  6. 2024Equivariant Blurring Diffusion for Hierarchical Molecular Conformer Generation
  7. 2025Equivariant Diffusion for Crystal Structure Prediction
  8. 2026A Systematic Evaluation of Molecule Generation Models for De Novo Drug Design: From Benchmarks to Practical Insights